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Finding the Third Proportional to 3,481,142.63 and 5,321,770.88

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Solution

The third proportional to 3,481,142.63 and 5,321,770.88 is: 8,135,617.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,481,142.63 : 5,321,770.88 = 5,321,770.88 : x
  2. Step 2: Convert to fraction form
    3,481,142.63/5,321,770.88 = 5,321,770.88/x
  3. Step 3: Cross multiply
    3,481,142.63x = 5,321,770.88 × 5,321,770.88
  4. Step 4: Simplify right side
    3,481,142.63x = 28,321,245,245,998.27
  5. Step 5: Solve for x
    x = 28,321,245,245,998.27/3,481,142.63
  6. Step 6: Final answer
    x = 8,135,617.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.